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Uniqueness of Five-Dimensional Supersymmetric Black Holes
Author(s) -
J. Gutowski
Publication year - 2004
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2004/08/049
Subject(s) - horizon , uniqueness , supergravity , black hole (networking) , five dimensional space , abelian group , physics , gauge theory , nonsingular black hole models , uniqueness theorem for poisson's equation , supersymmetry , mathematical physics , geometry , mathematics , extremal black hole , mathematical analysis , pure mathematics , quantum mechanics , charged black hole , computer network , routing protocol , routing (electronic design automation) , computer science , link state routing protocol
A classification of supersymmetric solutions of five dimensional ungauged supergravity coupled to arbitrary many abelian vector multiplets is used to prove a uniqueness theorem for asymptotically flat supersymmetric black holes with regular horizons. It is shown that the near-horizon geometries of solutions for which the scalars and gauge field strengths are sufficiently regular on the horizon are flat space, AdS_3 x S^2, or the near-horizon BMPV solution. Furthermore, the only black hole which has the near-horizon BMPV geometry for its near-horizon geometry is the solution found by Chamseddine and Sabra

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